Quadratic Residues & Forms
A 14-module path through quadratic residues & forms, in study order from foundations to the frontier.
Modules
- Quadratic Residues and Nonresidues
- The Legendre Symbol
- Euler's Criterion
- Gauss's Lemma
- The Supplementary Laws: (-1/p) and (2/p)
- The Law of Quadratic Reciprocity
- Computing Legendre Symbols in Practice
- The Jacobi Symbol
- Sums of Two Squares
- Sums of Four Squares
- Binary Quadratic Forms: Introduction
- Equivalence and Reduction of Binary Forms
- Continued Fractions of Quadratic Irrationals
- Pell's Equation and Continued Fractions